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T-total Investigation
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| Submitted: Thu Jul 11 2002
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T-total 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 On the grid on the right, you can see a 9 by 9 grid. On the grid, we see a "T" shape highlighted. The sum of the numbers within the T-shape is 1+2+3+11+20 = 37. This is known as the T-total. The T-number is the number that is at the bottom of the T-shape. In this example, 20 is the T-number. During this coursework, I will be investigating the relationships between the T-shapes and how they relate to grid size. I will also be looking closely into the significance of the T-number and how it could be used to figure out the T-total. 9 by 9 Grid We have already figured out the t-total for one t-shape in the 9 by 9 grid. Here are some more results. 34+35+36+44+53 = 202 46+47+48+56+65 = 262 5+6+7+15+24 = 57 58+59+60+68+77 = 322 In this investigation, I'll be implementing the use of equations. Here is how I started off. 1 2 3 10 11 12 19 20 21 If I bring all...
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